Calibration of Reduced Order POD Model of Unsteady Incompressible Laminar Flow Using Pressure Representation as a Function of Velocity Field Modes | ||
| مهندسی مکانیک دانشگاه تبریز | ||
| Article 38, Volume 48, Issue 2, January 0, Pages 349-358 PDF (6.02 M) | ||
| Document Type: Original Article | ||
| Author | ||
| Mohammad Moayyedi* | ||
| CFD Research Laboratory, Department of Mechanical Engineering, University of Qom, Qom, Iran | ||
| References | ||
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[1] Smith, T. R., Moehlis, J., Holmes, P., "Low-dimensional Modeling of Turbulence Using the Proper Orthogonal Decomposition", A tutorial, Kluwer Academic Publishers, 2004. [2] Holmes, P., Lumley, J. L., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Monographs on Mechanics, Cambridge University Press, Cambridge, 1996. [3] Lumley, J. L., The Structure of Inhomogeneous Turbulence, In A. M. Yaglom Tartarski, editors, Atmospheric Turbulence and Wave Propagation, pp. 166-Nauka, 78, 1967. [4] Sirovich, L., Turbulence and the Dynamics of Coherent Structures, Parts I-III, Quarterly of Applied Math., XLV (3):561-82, 1987. [5] Favier, J., Cordier, L., Kourta, A., and Iollo, A., Calibrated POD Reduced-order Models of Massively Separated Flows in the Perspective of Their Control, ASME Joint U.S.-European Fluids Engineering Summer Meeting, Miami, Florida, USA, 2006 [6] Couplet, M., Basdevant, C., and Saguat, P., "Calibrated Reduced-order POD-Galerkin System for Fluid Flow Modeling", J. Computational Physics, Vol. 207, pp. 192–220, 2005. [7] Noack B.R., Papas P. and Monkewitz P. A., The Need for a Pressure-Term Representation in Empirical Galerkin Models of Incompressible Shear Flows, J. Fluid Mech., Vol. 523, pp.339-365, 2005. [8] Galletti, B., Bottaro, A., Bruneau, C. H., and Iollo, A. Accurate Model Reduction for Transient and Forced Wakes, European J. Mech-B/Fluids, Vol. 26, pp.354-366, 2007. [9] Moayyedi M. K., Taeibi-Rahni M., and Sabetghadam F., Accurate Low-dimensional dynamical Model for Simulation of the Unsteady Incompressible Flows, The 12th Fluid Dynamic Conference, Babol, Iran, 2009. [10] Sabetghadam, F., Moayyedi, M. K., and Taeibi-Rahni, M., A Fast Approach for Temporal Calibration of Low-dimensional POD Model for Simulation of the Unsteady Incompressible Flows, The 9th Iranian Aerospace Society Conference, IAU- Science and Research Branch, Tehran, Iran, 2010. [11] Stankiewicz W., Roszak R., and Morzyński M., "Genetic Algorithm-based Calibration of Reduced Order Galerkin Models", Mathematical Modeling and Analysis, Vol. 16, No.2, pp.233-247, 2011. [12] Cordier L., Abou El Majd B., Favier J., Calibration of POD reduced-order models using Tikhonov regularization, International J. for Numerical Methods in Fluids, 63 (2), pp.269-296, 2009. [13] Moayyedi, M.K, Low-dimensional POD Simulation of the Unsteady Flows around Bodies with Arbitrary Shapes. PhD Dissertation, Department of Aerospace Engineering, Sharif University of Technology, 2009.
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